임의 형상 평판의 고정밀도 고유치 해석을 위한 NDIF 법의 새로운 정식화
New Formulation of NDIF Method for Highly Accurate Eigenvalue Analysis of Arbitrarily Shaped Plates
강상욱(한성대학교)
27권 5호, 622~628쪽
초록
The paper proposes an improved NDIF method for the free vibration analysis of simply supported plates having arbitrary shapes. The NDIF method, which was developed by the author in 1999, yields highly accurate solution compared with FEM and BEM. However, the NDIF method has the weak point that the diagonal elements of its system matrix become singular in the case of the simply supported boundary condition. In the paper, a new formulation of the NDIF method is developed to overcome this weak point. Finally, it is revealed from a case study for a circular plate having an exact solution that the proposed method is valid and accurate.
Abstract
The paper proposes an improved NDIF method for the free vibration analysis of simply supported plates having arbitrary shapes. The NDIF method, which was developed by the author in 1999, yields highly accurate solution compared with FEM and BEM. However, the NDIF method has the weak point that the diagonal elements of its system matrix become singular in the case of the simply supported boundary condition. In the paper, a new formulation of the NDIF method is developed to overcome this weak point. Finally, it is revealed from a case study for a circular plate having an exact solution that the proposed method is valid and accurate.
- 발행기관:
- 한국소음진동공학회
- 분류:
- 기계공학